MCQ

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days, will 10 women complete it?

#### Options

35 days

40 days

45 days

50 days

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#### Solution

**40 daysExplanation:**Let 1 man's 1 day's work = x

1 woman's 1 day's work= y

Then, `4x+6y=1/8and3x+7y=1/10`

On solving these two equations, we get

`x=11/400 and y=1/400`

∴ 1 woman's 1 day's work = `1/400`

⇒ 10 women's 1 day's work = `(1/400xx10)=1/40`

Hence, 10 women will complete the work in 40 days.

Concept: Time and Work (Entrance Exam)

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